Coherent sources and their importance in interference

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Question

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young’s double-slit experiment is

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Solution

$F o r c o n s t r u c t i v e i n t e r f e r e n c e, d \sin θ = n λ G i v e n, d = 2 λ \Rightarrow \sin θ = \frac{n}{2} n = 0, 1, - 1, 2, - 2 H e n c e, f i v e m a x i m a a r e p o s s i b l e . a l t e r n a t e s o l u t i o n : w h e n d = n λ t h e n t h e n u m b e r o f i n t e r f e r e n c e m a x i m a a r e g i v e n b y N = 2 n + 1$

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Coherent sources and their importance in interference

Remember concepts with our Masterclasses.

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young’s double-slit experiment is

For constructive interference, dsinθ=nλ Given , d=2λ ⇒sinθ=n2 n=0,1,−1,2,−2 Hence, five maxima are possible. alternate solution: when d=nλ then the number of interference maxima are given by N=2n+1

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